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In this paper we investigate the stochastic 3D Navier-Stokes equationsperturbed by linear multiplicative Gaussian noise of convolution type bytransformation to random PDEs. We are not interested in the regularity of theinitial data. We focus on obtaining bounds from below for the life spanassociated with regular initial data. The key point of the proof is the fixedpoint argument.

A Lower Bound Estimate of Life Span of Solutions to Stochastic 3D Navier-Stokes Equations with Convolution Type Noise